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Andreas93 [3]
3 years ago
14

Maura drives to work, a distance of 30 miles in 40 minutes. she takes the same route to return home. if her average speed on the

trip home is half as fast as her average speed on the trip to work, what is her average speed, in miles per hour, for the entire round trip
Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Well to solve this firstly we should calculate her average speed while she was going to work. Which comes out to be 45 miles per hour.

Now if her average speed while going home is half as fast as while coming to work was, the answer would be 22.5 miles per hour. So the average speed for the total journey would be the average for these two values. As the distance was same for both the journeys we can simply do 45 + 22.5 / 2 = 33.75 mph.

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At the beginning of the month, there were 80 ounces of peanut butter in the pantry. Since then, our family has eaten 30% of the
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Read 2 more answers
How much coffee costing $4 a pound should be mixed with 3 pounds of coffee costing 4.50 a pound to obtain a mixture costing $4.3
Aleks04 [339]

Answer:

The quantity of coffee costing $4 a pound in the coffee mixture is 2 pounds.

Step-by-step explanation:

Given: Coffee costing $4 a pound is mixed with 3 pounds of coffee costing 4.50 a pound to obtain a mixture costing $4.30 a pound.

We have to find the quantity of coffee costing $4 a pound in the mixture.

Let x represent the number of pounds of $4 coffee.

Cost of one pound = 4x.

Cost of  3 pounds of coffee costing 4.50 a pound = 3(4.50)

Cost of mixture costing $4.30 a pound = (x+3)(4.30)

According to given problem,

4x+3(4.50)=(x+3)4.30

Solving for x, we get,

\Rightarrow 4x+13.5=4.30x+12.9

Rearranging like term together, we get,

\Rightarrow 13.5-12.9=4.30x-4x

\Rightarrow 0.6=0.30x

\Rightarrow x=2

Thus, the quantity of coffee costing $4 a pound in the coffee mixture is 2 pounds.

3 0
3 years ago
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